Answer:
all positive numbers
Explanation:
You want to know the domain of the log function.
Log function
The log function ln(x) is defined for all x > 0. A log function with any other base is similarly defined.
log function domain: all positive numbers
A parent log function has a vertical asymptote at x=0, and an x-intercept at x=1. Its vertical scaling will depend on the base of the logarithm. Like any function, it can be translated and scaled horizontally and vertically.
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Additional comment
In the field of complex numbers, the log function is defined for any non-zero number. For example, ln(-1) = πi.
The range is all real numbers.